On power basis of a class of number fields

Anuj Jakhar, Sumandeep Kaur, Surender Kumar

Let $f(x)=x^n+a{x}^2+bx+c\in \mathbb{Z}[x]$ be an irreducible polynomial with $b^2=4ac$ and let $K=\Q(θ)$ be an algebraic number field defined by a complex root $\theta$ of $f(x)$. Let ${\mathbb{Z}}_K$ de…